Bulletin of the Korean Mathematical Society (대한수학회보)
- Volume 33 Issue 4
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- Pages.619-629
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- 1996
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- 1015-8634(pISSN)
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- 2234-3016(eISSN)
Smooth structures on symplectic 4-manifolds with finite fundamental groups
- Cho, Yong-Seung (Department of Mathematics, Ewha Women's University, Seoul 120-750)
- Published : 1996.11.01
Abstract
In studying smooth 4-manifolds the Donaldson invariant has played a central role. In [D1] Donaldson showed that non-vanishing Donaldson invariant of a smooth closed oriented 4-manifold X gives rise to the indecomposability of X. For instance, the complex algebraic suface X cannot decompose to a connected sum $X_1 #X_2$ with both $b_2^+(X_i) > 0$.